20305110672 has 480 divisors, whose sum is σ = 73841940480. Its totient is φ = 5229100800.

The previous prime is 20305110629. The next prime is 20305110689. The reversal of 20305110672 is 27601150302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77205613 + ... + 77205875.

It is an arithmetic number, because the mean of its divisors is an integer number (153837376).

Almost surely, 2^20305110672 is an apocalyptic number.

20305110672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20305110672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36920970240).

20305110672 is an abundant number, since it is smaller than the sum of its proper divisors (53536829808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20305110672 is a wasteful number, since it uses less digits than its factorization.

20305110672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 20305110672 its reverse (27601150302), we get a palindrome (47906260974).

The spelling of 20305110672 in words is "twenty billion, three hundred five million, one hundred ten thousand, six hundred seventy-two".